+7 During my trip to work, I spent 3/4 of the time driving on the highway, during which I covered 5/6 of the distance. My average speed on the highway was 60 miles per hour. Find my average speed, in miles per hour, during the time I was not on the highway. Please explain all the math.
+434 Just keep this in mind (No offense)
https://web2.0calc.com/questions/you-know-what-guarantees-i-won-t-look-at-your-problem
+7 I'm very sorry, it's just that this is my first question. I promise not to do it again.
+434 we mean well man just a reminder no worries I just asked her to help give reminders out because we don't want to facilate people being rude (and I am not saying you) I just mean that we don't want to facilate that oor any obnoixus manner.
+118609 LovinLife is right. Your title could have stopped you getting an answer.
During my trip to work, I spent 3/4 of the time driving on the highway, during which I covered 5/6 of the distance. My average speed on the highway was 60 miles per hour. Find my average speed, in miles per hour, during the time I was not on the highway. Please explain all the math.
To be honest I do not know exactly where I am going as I progress through my answer.
I am following a bouncing ball and with luck it will take me where I need to go.
Why not let the distance to work be D km. and the time taken be T
Highway distance = 5/6 of D
Highway time = 3/4 of T
Speed = distance /time
Highway speed =
\(=\frac{5D}{6}\div \frac{3T}{4}\\ =\frac{5D}{6}\times \frac{4}{3T}\\ =\frac{5D}{3}\times \frac{2}{3T}\\ =\frac{10D}{9T}\)
so
\(\frac{10D}{9T}=60\\ \frac{D}{9T}=6\\ D=54T\\\)
Minor road distance = 1/6 of D = 1/6 of 54T = 9T
Minor road time = 1/4 of T
Minor road speed
= 9T / 1/4 of T
\(=9T \div \frac{T}{4}\\ =9T \times \frac{4}{T}\\ =36 miles /hour\)
I have not checked my answer. You should do that :)
+36916 1/4 of your time is at the lower speed and you cover 1/6 of the distance
Rate x time = distance
60 x 3/4t = 5/6 solve for t 5/6 / (3/4 x 60) = t = 5/270
y x 1/4 (5/270) = 1/6 solve for y = 36 mph
